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Finding the Third Proportional to 82,154 and 132,267

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Solution

The third proportional to 82,154 and 132,267 is: 212,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,154 : 132,267 = 132,267 : x
  2. Step 2: Convert to fraction form
    82,154/132,267 = 132,267/x
  3. Step 3: Cross multiply
    82,154x = 132,267 × 132,267
  4. Step 4: Simplify right side
    82,154x = 17,494,559,289
  5. Step 5: Solve for x
    x = 17,494,559,289/82,154
  6. Step 6: Final answer
    x = 212,948.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.